Answer:
Density = 7.87 grams per mL
Explanation:
Density is given by the formula:
[tex]d=\frac{Z\times M}{a^{3}\times N_a}[/tex]
where
Z = effective number of atoms in one unit cell.
M = Molecular mass of the substance
a = edge length of unit cell
Na = Avogadro number = 6.022×10²³
In this case:
Z=2 as it is body-centered type unit cell
M = 56 g per mole for iron
a = 287 pm = [tex]287\times10^{-10}\ cm[/tex]
Substituting the above values in the density formula we get:
[tex]d=\frac{2\times56}{(287\times10^{-10})^{3}\times6.022\times10^{23}}=7.87\ g\ per\ ml[/tex]
Density of iron is 7.87 grams per mL.
